Solid Mechanics | 9. Conditions for applying Mohr's Circle by Abraham | Learn Smarter
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9. Conditions for applying Mohr's Circle

Mohr's Circle is a graphical method used to determine normal and shear stress components on arbitrary planes within a material. The chapter introduces the principles behind Mohr's Circle, describes how to derive relevant formulas for stress components, and explains the significance of graphical representations of stress states. Key concepts explored include the derivation of shear and normal stresses on inclined planes and the implications of rotation on Mohr's Circle when analyzing stress conditions.

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Sections

  • 1

    Conditions For Applying Mohr's Circle

    Mohr's Circle can be applied under specific conditions that establish relationships between normal and shear stresses on different planes.

    Learning Practice

  • 2

    Deriving Formulas For Normal And Shear Components On Such Planes

    This section focuses on deriving formulas for normal and shear components of stress on planes perpendicular to a principal stress direction using Mohr's Circle.

    Learning Practice

  • 2.1

    Reducing The Cuboidal Representation Of State Of Stress To A Square

    This section discusses how to represent a state of stress in a simpler form, converting a cuboidal representation into a square representation when there are no shear components in a specific direction.

    Learning Practice

  • 2.2

    Trigonometric Formula For Σ And Τ

    This section focuses on deriving trigonometric formulas for normal and shear components of traction on planes using Mohr's Circle methodology.

    Learning Practice

  • 2.3

    Introducing Graphical Parameters

    This section introduces graphical parameters in Mohr’s Circle for determining normal and shear components of traction.

    Learning Practice

  • 3

    Graphical Representation Of The Derived Formulation

    This section introduces Mohr’s Circle, a graphical method for visualizing the relationship between normal and shear stress components on various planes.

    Learning Practice

  • 3.1

    Mohr's Circle

    Mohr's Circle is a graphical representation used to understand stress on arbitrary planes by determining normal and shear components.

    Learning Practice

  • 4

    Sign Convention While Using Mohr's Circle

    This section discusses the sign convention associated with Mohr's circle, particularly how shear components are determined and interpreted in different directions.

    Learning Practice

  • 5

    Other Conclusions That Can Be Drawn Using Mohr's Circle

    This section discusses using Mohr's circle to derive the maximum and minimum values of normal and shear stresses.

    Learning Practice

References

ch9.pdf

Class Notes

Memorization

What we have learnt

  • Mohr's Circle provides a me...
  • The stress representation o...
  • Key values of shear and nor...

Final Test

Revision Tests